Finding the Third Proportional to 95,746 and 208,088

Step by Step Solution

1. Step 1: Write the proportion equation
   95,746 : 208,088 = 208,088 : x
2. Step 2: Convert to fraction form
   95,746/208,088 = 208,088/x
3. Step 3: Cross multiply
   95,746x = 208,088 × 208,088
4. Step 4: Simplify right side
   95,746x = 43,300,615,744
5. Step 5: Solve for x
   x = 43,300,615,744/95,746
6. Step 6: Final answer
   x = 452,244.64